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Finding the Third Proportional to 0.22 and 0.31

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Solution

The third proportional to 0.22 and 0.31 is: 0.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.22 : 0.31 = 0.31 : x
  2. Step 2: Convert to fraction form
    0.22/0.31 = 0.31/x
  3. Step 3: Cross multiply
    0.22x = 0.31 × 0.31
  4. Step 4: Simplify right side
    0.22x = 0.10
  5. Step 5: Solve for x
    x = 0.10/0.22
  6. Step 6: Final answer
    x = 0.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.